The implied domain of the function with rule  `f(x) = cos^(-1)(log_e(bx), b > 0)`  is

1. `(0, 1]`
2. `[1, e]`
3. `[1/b, e/b]`
4. `[1/b, (e^pi)/b]`
5. `[1/(be), e/b]`

A function  `f` has the rule  `f(x) = |b cos^(−1)(x) - a|`, where  `a > 0, b > 0`  and  `a < (bpi)/2`.

The range of  `f` is

1. `[−a, bpi - a]`
2. `[0, bpi - a]`
3. `[a, bpi - a]`
4. `[0, bpi + a]`
5. `[a - bpi, a]`

The maximal domain and range of the function  \(f(x)=a \cos ^{-1}(b x)+c\), where  \(a\), \(b\) and \(c\) are real constants with  \(a>0, b<0\)  and  \(c>0\), are respectively

1. \([0, \pi]\) and \([-a, a]\)
2. \([0, \pi]\) and \([-a+c, a+c]\)
3. \(\left[-\dfrac{1}{b}, \dfrac{1}{b}\right]\) and \([c, a \pi+c]\)
4. \(\left[\dfrac{1}{b},-\dfrac{1}{b}\right]\) and \([c, a \pi+c]\)
5. \(\left[\dfrac{1}{b},-\dfrac{1}{b}\right]\) and \([-a \pi+c, a \pi+c]\)

The implied domain of the function with rule  `f(x) = b + cos^(−1)(ax)`  where  `a > 0`  is

A.   `(−pi/a,pi/a)`

B.   `[−1,1]`

C.   `[−pi/a,pi/a]`

D.   `(−1/a,1/a)`

E.   `[−1/a,1/a]`

The domain and range of the function with rule  `f(x) = arccos(2x - 1) + pi/2`  are respectively

A.   `[−2,0]`  and  `[0,pi]`

B.   `[−2,0]`  and  `[pi/2,(3pi)/2]`

C.   `[0,1]`  and  `[0,pi]`

D.   `[0,1]`  and  `[pi/2,(3pi)/2]`

E.   `[0,pi]`  and  `[0,1]`

The implied domain of  `y = arccos ((x - a)/b)`, where  `b > 0`  is

A.  `[-1, 1]`

B.  `[a - b, a + b]`

C.  `[a - 1, a + 1]`

D.  `[a, a + b pi]`

E.  `[-b, b]` 

The implied domain of the function with rule  `f(x) = (3x)/(pi/2 - arccos (2 - x))`  is

A.   `[1, 3]`

B.   `[-1, 1]`

C.   `[0, 1) uu (1, 2]`

D.   `[-1, 0) uu (0, 1]`

E.   `[1, 2) uu (2, 3]`

The implied domain of  `f(x) = 2cos^(−1)(1/x)`  is

1. `R`
2. `[−1,1]`
3. `(−∞,−1] ∪ [1,∞)`
4. `R\ text(\) {0}`
5. `[−1,1]\ text(\) {0}`